Scattering Theory for Automorphic Functions by Peter D Lax

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Summary

The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Be

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Scattering Theory for Automorphic Functions by Peter D Lax

The application by Fadeev and Pavlov of the Lax-Phillips scattering theory to the automorphic wave equation led Professors Lax and Phillips to reexamine this development within the framework of their theory. This volume sets forth the results of that work in the form of new or more straightforward treatments of the spectral theory of the Laplace-Beltrami operator over fundamental domains of finite area; the meromorphic character over the whole complex plane of the Eisenstein series; and the Selberg trace formula. CONTENTS: 1. Introduction. 2. An abstract scattering theory. 3. A modified theory for second order equations with an indefinite energy form. 4. The Laplace-Beltrami operator for the modular group. 5. The automorphic wave equation. 6. Incoming and outgoing subspaces for the automorphic wave equations. 7. The scattering matrix for the automorphic wave equation. 8. The general case. 9. The Selberg trace formula.
SKU Unavailable
ISBN 13 9780691081847
ISBN 10 0691081840
Title Scattering Theory for Automorphic Functions
Author Peter D Lax
Series Annals Of Mathematics Studies
Condition Unavailable
Binding Type Paperback
Publisher Princeton University Press
Year published 1977-01-21
Number of pages 312
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.